TY  - JOUR
AU  - Feruglio, F.
AU  - Gherardi, V.
AU  - Romanino, A.
AU  - Titov, A.
PY  - 2021
DA  - 2021//
TI  - Modular invariant dynamics and fermion mass hierarchies around tau = i
T2  - J. High Energy Phys.
JO  - Journal of High Energy Physics
SP  - 242
EP  - 26pp
VL  - 05
IS  - 5
PB  - Springer
KW  - Beyond Standard Model
KW  - Neutrino Physics
KW  - Supersymmetric Standard Model
KW  - Compactification and String Models
AB  - We discuss fermion mass hierarchies within modular invariant flavour models. We analyse the neighbourhood of the self-dual point tau = i, where modular invariant theories possess a residual Z(4) invariance. In this region the breaking of Z(4) can be fully described by the spurion epsilon approximate to tau – i, that flips its sign under Z(4). Degeneracies or vanishing eigenvalues of fermion mass matrices, forced by the Z(4) symmetry at tau = i, are removed by slightly deviating from the self-dual point. Relevant mass ratios are controlled by powers of vertical bar epsilon vertical bar. We present examples where this mechanism is a key ingredient to successfully implement an hierarchical spectrum in the lepton sector, even in the presence of a non-minimal Kahler potential.
SN  - 1029-8479
UR  - https://arxiv.org/abs/2101.08718
UR  - https://doi.org/10.1007/JHEP05(2021)242
DO  - 10.1007/JHEP05(2021)242
LA  - English
N1  - WOS:000738737200001
ID  - Feruglio_etal2021
ER  -